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arXiv · 1402.4905

Generators of a fraction of a numerical semigroup

Alessio Moscariello
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Abstract

Given a numerical semigroup $S$ and a positive integer $d$, the fraction $\frac{S}{d}=\{ x \in \mathbb{N} \ | \ dx \in S\}$ is again a numerical semigroup. In this paper we determine a generating set for $\frac{S}{d}$ in terms of the minimal generators of $S$ and provide sharp upper bounds for the embedding dimension of $\frac{S}{d}$.

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Alessio Moscariello. 2015-05-30. Generators of a fraction of a numerical semigroup. https://arxiv.org/abs/1402.4905

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